Question

The cost of 12 oranges and 6 apples is $5.38 Eight oranges and 5 apples cost $3.68 Find the cost of each

Answer 1

Let the oranges cost = x

Let the apples cost = y

According to given conditions, equation becomes:

$12x+6y=5.38$ .... (1)

$8x+5y=3.68$    .....(2)

Multiplying equation (1) by 8 and equation (2) by 12 to get y

96x+48y=43.04   .... (3)

96x+60y=44.16 .... (4)

Now subtracting both equations we get,

12y = 1.12

y = 0.093

Hence, cost of 1 apple = $0.093

As 12x+6y=5.38

12x+6(0.093)=5.38

12x=4.822

x = 0.40

Hence, cost of 1 orange = $0.40